Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     x/100-(166/200)=0 

Step by step solution :

Step  1  :

             83
 Simplify   ———
            100

Equation at the end of step  1  :

   x      83
  ——— -  ———  = 0 
  100    100

Step  2  :

             x 
 Simplify   ———
            100

Equation at the end of step  2  :

   x      83
  ——— -  ———  = 0 
  100    100

Step  3  :

Adding fractions which have a common denominator :

 3.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 x - (83)     x - 83
 ————————  =  ——————
   100         100  

Equation at the end of step  3  :

  x - 83
  ——————  = 0 
   100  

Step  4  :

When a fraction equals zero :

 4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  x-83
  ———— • 100 = 0 • 100
  100 

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   x-83  = 0

Solving a Single Variable Equation :

 4.2      Solve  :    x-83 = 0 

 Add  83  to both sides of the equation : 
                      x = 83

One solution was found :